Question

If parallelogram ABCD was reflected over the y-axis, reflected over the x-axis,and rotated 180°, where would point A' lie?

Answer 1

Point A is (-4,1) .Point A is reflected along y axis  so y will remain same and x coordinate will have opposite sign .The reflected point A' ---(4,1) .The point is now reflected along x axis so its x ordinate will remain same and y will be at an equal distance from x axis The new reflected point is A" (4,-1) .The point is now rotated 180 degrees the x and y coordinate changes sign so the rotated final point is  A"'( -4,1).

Answer 2

The answer to the problem is as follows:

(x,y)−−−>(−x,y)
---->it is reflect across y axis
(x,y)−−−−>(x,−y)
--->across x axis
 
rotate 180 (x,y) ---> (-x,-y)
 
so it's (-4,1) i am right

I hope my answer has come to your help. God bless and have a nice day ahead!